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Madrigal Theater Company is interested in estimating fixed and variable costs. The following data are available for the month of December: Number of Tickets Sold

Madrigal Theater Company is interested in estimating fixed and variable costs. The following data are available for the month of December:

Number of Tickets Sold

Cost

December

4,200

$365,000

Detail of Cost:

Author royalties/fees*

$ 80,000

Wages (actors, ticket office, ushers, etc.)

165,000

Rent

60,000

Utilities

7,000

Food and beverages

29,400

Depreciationtheater equipment

14,000

Owner's salary

10,000

Total

$365,400

Author royalties/fees are fixed because the theater pays for the right to put on the play; royalties and fees are not paid based on the number of tickets sold.

REQUIRED

a. Use account analysis to estimate fixed cost per month and variable cost per tickets sold [i.e., estimate a and b in the equation Cost = a + (b Sales)]. Assume the only variable cost are in food and beverages.

b. Assume that the selling price per ticket is $25. Additionally, on average each ticket holder spends $10 on food and beverages. Based on your answer to part a, what is your estimate of the contribution margin ratio at Madrigal Theater?

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